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| HAL : hal-00739324, version 1 |
| arXiv : 0907.0021 |
| Code Bibliographique ADS : 2010CQGra..27b5004G |
| DOI : 10.1088/0264-9381/27/2/025004 |
| Fiche détaillée |  Récupérer au format |
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| Classical and Quantum Gravity 27 (2010) 025004 |
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| A natural fuzzyness of de Sitter spacetime |
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| J.-P. Gazeau1F. Toppan |
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| (01/2010) |
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| A non-commutative structure for de Sitter spacetime is naturally introduced by replacing ('fuzzyfication') the classical variables of the bulk in terms of the dS analogs of the Pauli-Lubanski operators. The dimensionality of the fuzzy variables is determined by a Compton length and the commutative limit is recovered for distances much larger than the Compton distance. The choice of the Compton length determines different scenarios. In scenario I the Compton length is determined by the limiting Minkowski spacetime. A fuzzy dS in scenario I implies a lower bound (of the order of the Hubble mass) for the observed masses of all massive particles (including massive neutrinos) of spin s > 0. In scenario II the Compton length is fixed in the de Sitter spacetime itself and grossly determines the number of finite elements ('pixels' or 'granularity') of a de Sitter spacetime of a given curvature. |
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| 1 : | APC - AstroParticule et Cosmologie |
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| APC - THEORIE |
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| Domaine | : | Physique/Relativité Générale et Cosmologie Quantique Physique/Physique des Hautes Energies - Théorie Physique/Physique mathématique Mathématiques/Physique mathématique |
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| Lien vers le texte intégral : |
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| http://fr.arXiv.org/abs/0907.0021 |
| hal-00739324, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00739324 | |
| oai:hal.archives-ouvertes.fr:hal-00739324 | |
| Contributeur : Alina Deniau | |
| Soumis le : Dimanche 7 Octobre 2012, 21:45:28 | |
| Dernière modification le : Dimanche 7 Octobre 2012, 21:45:28 | |
